20111001001101 has 12 divisors (see below), whose sum is σ = 29102919097980. Its totient is φ = 13382551494720.

The previous prime is 20111001001097. The next prime is 20111001001103. The reversal of 20111001001101 is 10110010011102.

It can be written as a sum of positive squares in 2 ways, for example, as 7391471063076 + 12719529938025 = 2718726^2 + 3566445^2 .

It is not a de Polignac number, because 20111001001101 - 2² = 20111001001097 is a prime.

It is a super-2 number, since 2×20111001001101² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20111001001103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2065203696 + ... + 2065213433.

It is an arithmetic number, because the mean of its divisors is an integer number (2425243258165).

Almost surely, 2^{20111001001101} is an apocalyptic number.

It is an amenable number.

20111001001101 is a deficient number, since it is larger than the sum of its proper divisors (8991918096879).

20111001001101 is a wasteful number, since it uses less digits than its factorization.

20111001001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4130417676 (or 4130417673 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 20111001001101 its reverse (10110010011102), we get a palindrome (30221011012203).

The spelling of 20111001001101 in words is "twenty trillion, one hundred eleven billion, one million, one thousand, one hundred one".